State whether the following systems are linear or nonlinear, causal or non causal, fixed or time-varying, and instantaneous or dynamic. Also, find the order of the systems. b) dªy(t) _2_d³y(t)_d²y(t) _ dy(t) dt* dt³ d³y(t) dy(t) dt³ dt Order c) d³y(t) _2 d³y(t)_d³y(t) _4 = e-(¹+²).x(t) dt³ dt³ dt³ y(t) d) daye dy ما d+s Property Linear (Yes/No) Causal (Yes/No) Fixed (Yes/No) Dynamic (Yes/No) -2. -5.y(t)= cos(10nt) x(t) y(t+5)-y(t+1)+0.9·1² · y(t) = x(t) "dy/ft dt² a N Y Y Y -4.. -+5∙y(t) = x(t) dt 4 b Y Y N Y 3 System N Y с N Y 5 Y N Y 5 d

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.19P
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Hey I'm studying this question for an exam and am a little shaky on these concepts.

Can someone explain the reasoning for each answer in the chart please?

Thank you!

State whether the following systems are linear or nonlinear, causal or non causal, fixed or
time-varying, and instantaneous or dynamic. Also, find the order of the systems.
a)
b)
dªy(t) _2_d³y(t) _d²y(t)
d³y(t)
dt*
dt³
d³y(t)
dt³
Order
For the sy 4 y
Property
Linear (Yes/No)
Causal (Yes/No)
Fixed (Yes/No)
Dynamic (Yes/No)
_
-2..
dy(t) _5. y(t) = cos(10nt) · x(t)
dt
d'y(t), d'y(t) d'y(t) t
-2.-
dt³
-4.
dt³
dt³ y(t)
c)
d) y(t+5)− y(t+1)+0.9·1² · y(t) = x(t)
Lộ day
dy/dt
dt's
↓
_d²y(t) _4. dy(t)
dt²
dt
dy(t) +5. y(t) = x(t)
a
N
Y
Y
Y
4
b
Y
Y
N
Y
3
e¯(¹+2).x(t)
System
ZYNY
5
C
N
Y
5
Y
Y
d
Transcribed Image Text:State whether the following systems are linear or nonlinear, causal or non causal, fixed or time-varying, and instantaneous or dynamic. Also, find the order of the systems. a) b) dªy(t) _2_d³y(t) _d²y(t) d³y(t) dt* dt³ d³y(t) dt³ Order For the sy 4 y Property Linear (Yes/No) Causal (Yes/No) Fixed (Yes/No) Dynamic (Yes/No) _ -2.. dy(t) _5. y(t) = cos(10nt) · x(t) dt d'y(t), d'y(t) d'y(t) t -2.- dt³ -4. dt³ dt³ y(t) c) d) y(t+5)− y(t+1)+0.9·1² · y(t) = x(t) Lộ day dy/dt dt's ↓ _d²y(t) _4. dy(t) dt² dt dy(t) +5. y(t) = x(t) a N Y Y Y 4 b Y Y N Y 3 e¯(¹+2).x(t) System ZYNY 5 C N Y 5 Y Y d
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